Angular displacement, θ is how large an angle (in radians) has been rotated through from the origin.
Angular velocity, ω gives us the rate of rotation. It tells us how large an angle is moved through per second. Measured in rad/s.
- Angular velocity= 2π radians/time period= 2π/T
We can also define angular velocity in terms of frequency, f
- ω= 2πf
Linear velocity, υ how quickly a rotating object travels in terms of distance, not angle. Measured in m/s.
- υ= 2πr/T= 2πrf
- NB. because linear velocity=angular velocity x radius, υ= ωr and…